Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
Answer:
C
Step-by-step explanation:
If you try to close the triangle at the right towards the left so that it imposes on the larger triangle we would have;
HJ ~ PQ
JN ~ QN
HN ~ PN
If f(x) = 2x + 7 & g(x) = 7 - x
then:
fog = 2(7 - x) + 7
= 14 - 2x + 7
= 21 - 2x
gof = 7 - (2x + 7)
= 7 - 2x - 7
= -2x
gog = 7 - (7 - x)
= 7 - 7 + x
= x
Volume of the cylinder = πr²*h
V = π*5²*12=300π cm³ ≈ 942 cm³
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side
so
Part 1) Find the length of BC
Applying the Midpoint Theorem

we have

substitute the given value

solve for BC

Part 2) Find the length of DE
Applying the Midpoint Theorem

we have

substitute the given value


Part 3) Find the length of CE
we know that
----> by addition segment postulate
The point E is the midpoint segment BC
That means

so

we have

substitute

solve for CE

